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Finding the Fourth Proportional to 6,745.38, 9,286.10 and 5,063.96

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Solution

The fourth proportional to 6,745.38, 9,286.10 and 5,063.96 is: 6,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.38 : 9,286.10 = 5,063.96 : x
  2. Step 2: Convert to fraction form
    6,745.38/9,286.10 = 5,063.96/x
  3. Step 3: Cross multiply
    6,745.38x = 9,286.10 × 5,063.96
  4. Step 4: Simplify right side
    6,745.38x = 47,024,438.96
  5. Step 5: Solve for x
    x = 47,024,438.96/6,745.38
  6. Step 6: Final answer
    x = 6,971.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.